238579911360 has 672 divisors, whose sum is σ = 994530700800. Its totient is φ = 51279298560.

The previous prime is 238579911263. The next prime is 238579911377. The reversal of 238579911360 is 63119975832.

238579911360 is a `hidden beast` number, since 2 + 3 + 8 + 579 + 9 + 1 + 1 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a junction number, because it is equal to n+sod(n) for n = 238579911297 and 238579911306.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 53240320 + ... + 53244800.

It is an arithmetic number, because the mean of its divisors is an integer number (1479956400).

Almost surely, 2^238579911360 is an apocalyptic number.

238579911360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 238579911360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (497265350400).

238579911360 is an abundant number, since it is smaller than the sum of its proper divisors (755950789440).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

238579911360 is a wasteful number, since it uses less digits than its factorization.

238579911360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4669 (or 4656 counting only the distinct ones).

The product of its (nonzero) digits is 2449440, while the sum is 54.

The spelling of 238579911360 in words is "two hundred thirty-eight billion, five hundred seventy-nine million, nine hundred eleven thousand, three hundred sixty".